Design: Cluster RCT, with 3 levels, and randomization done at level 3 (district level).
Models: random treatment effects.
Default parameters:
\(\bar{n}\) = 100
\(\bar{n}\) = 75
\(R^2_1 =\) 0.6, 0.6, 0.6
\(R^2_2 =\) 0.6, 0.6, 0.6
\(R^2_3 =\) 0.6, 0.6, 0.6
\(R^2_1 =\) 0, 0, 0 \(R^2_2 =\) 0, 0, 0 \(R^2_3 =\) 0, 0, 0
\(\rho =\) 0.2
\(\rho =\) 0.8
ATE (ES) = 0.25, 0, 0
\(\text{ICC}_2\) = 0.7, 0.7, 0.7
\(\text{ICC}_3\) = 0.7, 0.7, 0.7
\(\text{ICC}_2\) = 0, 0, 0
\(\text{ICC}_3\) = 0, 0, 0
\(\kappa\) = 0.4
##
##
## +------------+---------------+---------------+-------------+
## | MTP | Adjusted MDES | D1indiv Power | Target MDES |
## +============+===============+===============+=============+
## | rawp | 0.1767 | 0.2141 | 0.25 |
## +------------+---------------+---------------+-------------+
## | Bonferroni | 0.2509 | 0.2141 | 0.25 |
## +------------+---------------+---------------+-------------+
## | BH | 0.2522 | 0.3036 | 0.25 |
## +------------+---------------+---------------+-------------+
## | Holm | 0.2513 | 0.2615 | 0.25 |
## +------------+---------------+---------------+-------------+
##
## Table: d3.3_m3rc2rc
##
##
## +------+-------------+-------------+---------------+
## | MTP | Sample type | Sample size | D1indiv power |
## +======+=============+=============+===============+
## | BH | J | 3267 | 0.308 |
## +------+-------------+-------------+---------------+
## | Holm | J | 2587 | 0.2636 |
## +------+-------------+-------------+---------------+
##
## Table: d3.3_m3rc2rc
##
##
## +------+-------------+-------------+---------------+
## | MTP | Sample type | Sample size | D1indiv power |
## +======+=============+=============+===============+
## | BH | K | 20 | 0.2983 |
## +------+-------------+-------------+---------------+
## | Holm | K | 21 | 0.2585 |
## +------+-------------+-------------+---------------+
##
## Table: d3.3_m3rc2rc
##
##
## +------+-------------+-------------+---------------+
## | MTP | Sample type | Sample size | D1indiv power |
## +======+=============+=============+===============+
## | BH | nbar | 3227 | 0.3014 |
## +------+-------------+-------------+---------------+
## | Holm | nbar | 7238 | 0.2592 |
## +------+-------------+-------------+---------------+
##
## Table: d3.3_m3rc2rc